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Finding the Third Proportional to 243,732 and 518,504

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Solution

The third proportional to 243,732 and 518,504 is: 1,103,041.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,732 : 518,504 = 518,504 : x
  2. Step 2: Convert to fraction form
    243,732/518,504 = 518,504/x
  3. Step 3: Cross multiply
    243,732x = 518,504 × 518,504
  4. Step 4: Simplify right side
    243,732x = 268,846,398,016
  5. Step 5: Solve for x
    x = 268,846,398,016/243,732
  6. Step 6: Final answer
    x = 1,103,041.04

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.